Details

Time bar (total: 11.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u fma-def associate-/r* log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
19.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
60.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (407.0ms)

IterNodesCost
01281105
13161048
21025982
34252973
done5000973

prune202.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
0.1b
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
6×add-exp-log
5×associate-/r*
4×add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×pow1 fma-def associate-/l*
2×expm1-log1p-u div-exp associate-/r/ log1p-expm1-u div-inv distribute-lft-out
1×cbrt-undiv +-commutative rec-exp flip3-- pow-flip frac-2neg flip3-+ 1-exp clear-num sum-log flip-- flip-+ inv-pow
Counts
2 → 61
Calls
2 calls:
25.0ms
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
14.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series100.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
63.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify2.6s

Counts
67 → 67
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01151045
1265952
2917891
33985885
done5000884

prune129.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
187×cbrt-prod
157×add-sqr-sqrt
145×*-un-lft-identity
133×times-frac
75×add-cube-cbrt
32×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
16×unswap-sqr
14×associate-/r/
11×pow1
9×pow1/3 div-inv
7×cbrt-div flip3-- flip--
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 215
Calls
4 calls:
77.0ms
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
8.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
8.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
8.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series639.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
146.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
148.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
150.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify1.1s

Counts
227 → 227
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02926568
16035992
222025735
done50005723

prune592.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y (+ (fma x (- y) (* 1.1283791670955126 (exp z))) (* x (+ (- y) y)))))
6.5b
(/ y (+ (fma x (- y) (* 1.1283791670955126 (exp z))) (* x (+ (- y) y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out
Counts
2 → 48
Calls
2 calls:
9.0ms
(+ x (/ y (+ (fma x (- y) (* 1.1283791670955126 (exp z))) (* x (+ (- y) y)))))
4.0ms
(/ y (+ (fma x (- y) (* 1.1283791670955126 (exp z))) (* x (+ (- y) y))))

series101.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ y (+ (fma x (- y) (* 1.1283791670955126 (exp z))) (* x (+ (- y) y)))))
64.0ms
(/ y (+ (fma x (- y) (* 1.1283791670955126 (exp z))) (* x (+ (- y) y))))

simplify2.3s

Counts
54 → 54
Iterations

Useful iterations: 3 (422.0ms)

IterNodesCost
01101339
12721273
29851079
34219953
done5000953

prune170.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample404.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid